A quantum kinetic approach for modeling a two-band resonant tunneling diode

Transport Theory and Statistical Physics

Volumn 36, Issue 1-3, 2007, Pages 159-177

  Frosali, G ^a   Morandi, O ^b  

^a UNIVERSITY OF FLORENCE   (Italy)

^b UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

Author keywords

Interband resonant diode; Multiband transport; Wigner formulation

Indexed keywords

EID: 34547202923     PISSN: 00411450     EISSN: 15322424     Source Type: Journal    
DOI: 10.1080/00411450701456907     Document Type: Conference Paper

References (13)

1. Ali, G., Frosali, G. (2005). On the quantum hydrodynamic models for the twoband Kane system. Nuovo Cimento B 120(12): 1279-1298.
2. Borgioli, G., Frosali, G., Zweifel, P. F. (2003). Wigner approach to the two-band Kane model for a tunneling diode. TTSP 32(3&4):347-366.
3. Demeio, L. (2003). Splitting-scheme solution of the collisionless Wigner equation with non-parabolic band profile. J. Comput. Electron. 2:319-322.
4. Frensley, W. R. (1990). Boundary conditions for open quantum systems far from equilibrium. Rev. Mod. Phys. 62:745-791.
5. Kane, E. O. (1956). Energy band structure p-type germanium and silicon. J. Phys. Chem. Solids 1:82-89.
6. Kefi, J. (2003). Analyse mathématique et numérique de modèles quantiques pour les semiconducteurs. PhD thesis. Toulouse University.
7. Manzini, C., Morandi, O. (2006). An analysis of a quantum kinetic two-band model with inflow boundary conditions. Extended Abstract of V Congresso Noz. Soc. Ital. di Matematica Industriale e Applicata, SIMAI2006 (CD version).
8. Markowich, P. A., Ringhofer, C. A. Schmeiser, C. (1990). Semiconductor Equations. Vienna: Springer Verlag.
9. Markowich, P. A., Ringhofer, C. A. (1989). An analysis of the quantum Liouville equation. Z. Angew. Math. Mech. 69:5675-5683.
10. Morandi, O., Modugno, M. (2005). A multi-band envelope function model for quantum transport in a tunneling diode. Phys. Rev. B 71:235331.
11. Reed, M., Simon, B. (1972). Methods of Modern Mathematical Physics, I - Functional Analysis. New York: Academic Press.
12. Wigner, E. (1932). On the quantum correction for thermodynamic equilibrium. Phys. Rev. 40:749-759.
13. Arnold, A., Ringhofer, C. (1996). An operator splitting method for the WignerPoisson problem. SIAM J. Num. Anal 33(4):1622-1643.